Rodrigo has asked Atletico Madrid to grant him "space" as he ponders his future amid reported interest from Manchester City.
The Spain midfielder has been heavily linked with a move to the Premier League champions and has a reported €70 million (£62m/$79m) release clause in his Atleti contract.
City are thought to be keen on bolstering their options at defensive midfield with Fernandinho now 34 and Rodrigo has done little to quell speculation he could fill that particular transfer wish of Pep Guardiola.
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Speaking to Deportes Cuatro, the 22-year-old said: "I asked the club for peace of mind to give me space.